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A Simple three-dimensional quadratic autonomous system | Sprott Linz F attractor | Chaos Theory 

thinkeccel
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This Chaotic flow in an algebraically simplest three-dimensional quadratic autonomous system was found by [Sprott & Linz, 2000], which has
only five terms with a single quadratic nonlinearity. This nonlinear system (known as Sprott Linz F) with specific initial conditions is solved
numerically and the resulting trajectory is shown through a 3 dimensional animation.
Here are the initial conditions used for the solution shown:
Initial condition 1: (0.1, 0, 0)
Initial condition 2: (0.1, 0.1, 0.1)
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My RedBubble Shop: www.redbubble....
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Reference: www.3d-meier.de...
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Here are some links to other attractors that I animated.
Sprott-Linz D : • Simplest three-dimensi...
Aizawa attractor : • Aizawa Chaotic attract...
TSUCS1 attractor : • Three-Scroll Unified C...
TSUCS2 attractor : • [TSUCS2] Three-Scroll ...
Since Lorenz found the first chaotic attractor in a smooth three-dimensional autonomous system, later chaotic attractors were developed, for example the Rossler system, the Sprott system, the Chen system, the Lu system, the generalized Lorenz system family, and the hyperbolic type of the generalized Lorenz canonical form. Here one of such attractor is shown in this video.
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#NonlinearSystem|#ChaoticSystem #ButterflyEffect| thinkeccel

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27 сен 2024

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Комментарии : 7   
@thinkeccel
@thinkeccel 3 года назад
The two spheres represent two solutions of the nonlinear system of the differential equations shown. The trajectory of the solution point (x, y, z) in 3D coordinates is shown as the time evolves. The only difference in the two solutions is a minor change in the starting location (the initial conditions).
@ahmedbhinder8921
@ahmedbhinder8921 3 года назад
Wao v. Nice Mashallah Keep it up
@thinkeccel
@thinkeccel 3 года назад
😇🙏
@fluidmodes
@fluidmodes 3 года назад
Keep up the good work 👏
@thinkeccel
@thinkeccel 3 года назад
😎👍
@nerdogan6948
@nerdogan6948 3 года назад
STUNNING!
@thinkeccel
@thinkeccel 3 года назад
👍😇🙏
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